Finite-Time H_∞ Control for Discrete-Time Markov Jump Systems with Actuator Saturation
This paper investigates the finite-time control problem for discrete-time Markov jump systems subject to saturating actuators. A finite-state Markovian process is given to govern the transition of the jumping parameters. The finite-time H ∞ controller via state feedback is designed to guarantee that...
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Published in | Abstract and Applied Analysis Vol. 2014; no. 2014; pp. 489 - 495-153 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Cairo, Egypt
Hindawi Limiteds
2014
Hindawi Publishing Corporation John Wiley & Sons, Inc Wiley |
Subjects | |
Online Access | Get full text |
ISSN | 1085-3375 1687-0409 |
DOI | 10.1155/2014/182613 |
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Abstract | This paper investigates the finite-time control problem for discrete-time Markov jump systems subject to saturating actuators. A finite-state Markovian process is given to govern the transition of the jumping parameters. The finite-time H ∞ controller via state feedback is designed to guarantee that the resulting system is mean-square locally asymptotically finite-time stabilizable. Based on stochastic finite-time stability analysis, sufficient conditions that ensure stochastic control performance of discrete-time Markov jump systems are derived in the form of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach. |
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AbstractList | This paper investigates the finite-time control problem for discrete-time Markov jump systems subject to saturating actuators. A finite-state Markovian process is given to govern the transition of the jumping parameters. The finite-time [subscript] H ∞ [/subscript] controller via state feedback is designed to guarantee that the resulting system is mean-square locally asymptotically finite-time stabilizable. Based on stochastic finite-time stability analysis, sufficient conditions that ensure stochastic control performance of discrete-time Markov jump systems are derived in the form of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach. This paper investigates the finite-time control problem for discrete-time Markov jump systems subject to saturating actuators. A finite-state Markovian process is given to govern the transition of the jumping parameters. The finite-time H∞ controller via state feedback is designed to guarantee that the resulting system is mean-square locally asymptotically finite-time stabilizable. Based on stochastic finite-time stability analysis, sufficient conditions that ensure stochastic control performance of discrete-time Markov jump systems are derived in the form of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach. This paper investigates the finite-time control problem for discrete-time Markov jump systems subject to saturating actuators. A finite-state Markovian process is given to govern the transition of the jumping parameters. The finite-time H ∞ controller via state feedback is designed to guarantee that the resulting system is mean-square locally asymptotically finite-time stabilizable. Based on stochastic finite-time stability analysis, sufficient conditions that ensure stochastic control performance of discrete-time Markov jump systems are derived in the form of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach. This paper investigates the finite-time control problem for discrete-time Markov jump systems subject to saturating actuators. A finite-state Markovian process is given to govern the transition of the jumping parameters. The finite-time H ∞ controller via state feedback is designed to guarantee that the resulting system is mean-square locally asymptotically finite-time stabilizable. Based on stochastic finite-time stability analysis, sufficient conditions that ensure stochastic control performance of discrete-time Markov jump systems are derived in the form of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach. |
Author | Zhao, Junjie Li, Bo |
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Cites_doi | 10.1016/j.automatica.2007.02.022 10.1016/j.amc.2010.07.031 10.1109/TAC.2006.875006 10.1016/j.apm.2012.07.060 10.1002/asjc.133 10.1016/j.jfranklin.2011.11.011 10.1109/TSMCB.2008.2002812 10.1016/j.cnsns.2012.05.002 10.1177/0142331209339860 10.1109/TFUZZ.2011.2177842 10.1109/TAC.2003.814276 10.1109/TAC.2006.890320 10.1016/S0167-6911(02)00130-5 10.1016/S0005-1098(03)00072-4 10.1177/0142331213495040 10.1049/iet-cta.2007.0451 10.1049/iet-cta:20080091 10.1080/00207179.2013.878478 10.1016/j.automatica.2013.09.041 10.1109/TSMCB.2012.2230441 10.1109/TAC.2003.809148 10.1016/j.automatica.2006.07.018 10.1049/iet-cta.2012.0822 10.1080/00207170600688842 10.1016/j.eswa.2011.11.111 10.1016/j.automatica.2004.03.004 10.1109/TNN.2011.2163203 10.1007/s00034-011-9328-3 10.1243/09596518JSCE1006 10.1016/j.automatica.2005.10.017 10.1016/j.automatica.2007.06.003 10.1016/j.jfranklin.2013.02.031 10.1177/0142331213487921 |
ContentType | Journal Article |
Copyright | Copyright © 2014 Bo Li and Junjie Zhao. Copyright © 2014 Bo Li and Junjie Zhao. Bo Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
Copyright_xml | – notice: Copyright © 2014 Bo Li and Junjie Zhao. – notice: Copyright © 2014 Bo Li and Junjie Zhao. Bo Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
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SubjectTerms | Closed loop systems Controllers Design Feedback control systems Neural networks Probability Science Studies |
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Title | Finite-Time H_∞ Control for Discrete-Time Markov Jump Systems with Actuator Saturation |
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